Farm Production Goal Programming Model – Approach B

Let’s assume the farmers goals are: Costs \$15000, revenues \$60000 and N contamination 300 units. All these goals can be overachieved (with individually defined weights) or underachieved (with individually defined weights). On following Excel sheet both normalized an original weights are included, but the model is solved only with the normalized ones.

Solving these linear programming model using Linkosa software our manager obtains following optimal solution:

 Optimal Solution of the Model FARM PRODUCTION Goal Programming Approach B Min. value of the objective function Z (norm weights) 31,27 Structural variables Constraints Name Value Type Name Value Slack wheat [ha] 8 Basic arable land 30 0 barley [ha] 0 Lower bound acreage of wheat 8 0 potato [ha] 22 Basic acreage of potato 10 -12 grassland [ha] 3,97 Basic acreage of grassland 15 11,03 cows [pcs] 4,52 Basic balance of food 0 0 milk [l] 18,08 Basic stable capacity 30 25,48 u1 0 Lower bound balance of milk 0 0 u2 0 Lower bound costs 150 0 u3 0 Lower bound revenues 600 0 e1 81,05 Basic N contamination 300 0 e2 0 Lower bound e3 146,8 Basic